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Finding the Third Proportional to 101,624,000 and 216,357,040

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Solution

The third proportional to 101,624,000 and 216,357,040 is: 460,623,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,624,000 : 216,357,040 = 216,357,040 : x
  2. Step 2: Convert to fraction form
    101,624,000/216,357,040 = 216,357,040/x
  3. Step 3: Cross multiply
    101,624,000x = 216,357,040 × 216,357,040
  4. Step 4: Simplify right side
    101,624,000x = 46,810,368,757,561,600
  5. Step 5: Solve for x
    x = 46,810,368,757,561,600/101,624,000
  6. Step 6: Final answer
    x = 460,623,167.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.